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Sellmeier formula 2024-3-10
Definition:
Equation for calculating the refractive index as a function of wavelength.

When characterizing the refractive index as a function of wavelength in transparent optical materials, the Sellmeier formula [1] (also known as the Sellmeier equation or the Sellmeier dispersion formula) is usually used. A typical form is:

This form is derived from a simple physics model that is only suitable for wavelength regions where absorption is negligible.
For example, the refractive index of fused silica can be calculated as:



The wavelength unit is microns.
The least squares fitting process can be used to obtain the Sellmeier coefficient, which can be brought into the refractive index expression to calculate the refractive index over a wide range of wavelengths.